What is the domain of R(x)=((x+5))/(x(x+11)) ?

The domain of R(x)=((x+5))/(x(x+11)) is x 0

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domain of R(x)=((x+5))/(x(x+11))

domain

R (x) = \frac{( x + 5 )}{x ( x + 11 )}

x < - 11 or - 11 < x < 0 or x > 0

Interval Notation

(- \infty, - 11) \cup (- 11, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 11

The function domain

x < - 11 or - 11 < x < 0 or x > 0

What is the domain of R(x)=((x+5))/(x(x+11)) ?
The domain of R(x)=((x+5))/(x(x+11)) is x<-11\lor-11<x<0\lor x>0